   Chapter 6.CR, Problem 28CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Review Exercises 27 to 29, give a proof for each statement. G i v e n :                     ⊙ O with E O - ⊥ B C - ,                                                               D O - ⊥ B A - ,   E O - ≅ O D -             P r o v e :                   B C ^ ≅ B A ^ To determine

To Prove: BC^BA^, if O with EO-BC-, DO-BA-, EO-OD- Explanation

Concept:

Theorem 6.1.5:

In a circle (or in congruent circles), congruent chords have congruent minor (major) arcs.

Theorem 6.1.6:

In a circle (or in congruent circles), congruent arcs have congruent chords.

Theorem 6.1.7:

Chords that are at the same distance from the center of a circle are congruent.

Theorem 6.1.8:

Congruent chords are located at the same distance from the center of a circle.

Calculation:

Given that O with EO-BC-, DO-BA-, EO-OD

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